Home
Class 11
MATHS
Let f:[-pi/3, 2pi/3] rarr [0,4] be a fun...

Let `f:[-pi/3, 2pi/3] rarr [0,4]` be a function defined as `f(x)=sqrt3 sinx-cosx+2`. Then `f^-1(x)` is given by

A

`sin^-1(x-2/2)-pi/6`

B

`sin^-1((x-2)/2)+pi/6`

C

`2pi/3-cos^-1((x-2)/2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|81 Videos

  • FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|66 Videos

Similar Questions

Explore conceptually related problems

Let f : R to R be a function such that f(x)=x^3+x^2+3x+sinx . Then

Let f : R - {-(4)/(3) } to R be a function defined as f (x) = (4x )/( 3x +4). The inverse of f is the map g: Range f:Rto R {-(4)/(3)} given by

Let f: [-pi/2, pi/2]rarr[-1, 1] , where f(x)=sinx. Find whether f(x) is one-one or not.

Let, f:[0,4pi]to[0,pi] be defined by f(x)=cos^(-1)(cosx) . The number of points x in[0,4pi] satisfying the equation f(x)=(10-x)/(10)

Let a function f:R to R be defined by f(x)=2x+cosx+sinx " for " x in R . Then find the nature of f(x) .

Let f:[0,4pi]->[0,pi] be defined by f(x)=cos^-1(cos x). The number of points x in[0,4pi] 4satisfying the equation f(x)=(10-x)/10 is

If f: RtoS , defined by f(x)=sinx-sqrt(3)cosx+1,is onto , then find the set Sdot

In the function f(x) is defined for x in[0,1] then the function f(2x+3) is defined for

If f(x)=x+sinx , then int_(pi)^(2pi)f^(-1)(x)dx is equal to

If f: R rarr R is a function defined by f(x)=[x]cos((2x-1)/2)pi , where [x] denotes the greatest integer function, then f is

PATHFINDER-FUNCTION-QUESTION BANK
  1. If f'(x)=(1-2sin^2x)/f(x), (f(x) ge 0, AA x in R and f(0)=1) then f(x...

    Text Solution

    |

  2. If f(x)=sin^2x+sin^2(x+pi/3)+cos x.cos(x+pi/3) and g(5/4)=1, then

    Text Solution

    |

  3. Let f:[-pi/3, 2pi/3] rarr [0,4] be a function defined as f(x)=sqrt3 si...

    Text Solution

    |

  4. If f(x)=x/(x^2+1) and f(A)={y:-1/2 le y lt 0}, then set A is

    Text Solution

    |

  5. If f(x)=cos([pi^2|x)+cos([-pi^2|x), where [x] stands for the greatest ...

    Text Solution

    |

  6. Domain of f(x)=sin^-1[2-4x^2] is ([.] denotes the greatest integer fun...

    Text Solution

    |

  7. f(x)=cos^2x+cos^2(pi/3 +x)-cosxcos(pi/3 +x) is

    Text Solution

    |

  8. If [x] denotes the greatest integer less than or equal to x, the extre...

    Text Solution

    |

  9. Let y=f(x) is a parabola whose vertex is at (3/4,-1/4),the length of l...

    Text Solution

    |

  10. Let y=f(x) is a parabola whose vertex is at (3/4,-1/4),the length of l...

    Text Solution

    |

  11. Let y=f(x) is a parabola whose vertex is at (3/4,-1/4),the length of l...

    Text Solution

    |

  12. Let x in R be any real number such that xlies between any two consecut...

    Text Solution

    |

  13. Let x in R be any real number such that xlies between any two consecut...

    Text Solution

    |

  14. If f(x)=cos[pi^2]x+cos[-pi^2]xthen the value of f(pi/4)+f(pi/2)is

    Text Solution

    |

  15. Match List - I with List-II

    Text Solution

    |

  16. Match List - I with List-II

    Text Solution

    |

  17. The number of solutions of 2{x} - 1 = nx where n in (2,infty) and {.} ...

    Text Solution

    |

  18. Let f(x) and g(x) be one-one onto functions where f : {a,b,c,d} rarr {...

    Text Solution

    |

  19. A polynomial f(x0 satisfies the condition f(x).f(1/x)=f(x)+f(1/x) and ...

    Text Solution

    |

  20. The number of solutions of sin(x/2) + 2 pi x = x^2 + pi^2 + 1 must be

    Text Solution

    |